Titolo |
Pubblicato in |
Anno |
The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties |
Journal of Physics A: Mathematical and Theoretical |
2024 |
The effect of loss/gain and Hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves |
Journal of Physics A: Mathematical and Theoretical |
2024 |
Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz - Ladik lattices |
JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |
2023 |
Periodic Rogue Waves and Perturbation Theory |
Encyclopedia of Complexity and Systems Science |
2022 |
Конечнозонный подход в периодической задаче Коши для $(2+1)$-мерных аномальных волн фокусирующего уравнения Дэви-Стюартсона 2 |
USPEKHI MATEMATICHESKIKH NAUK |
2022 |
The linear and nonlinear instability of the Akhmediev breather |
NONLINEARITY |
2021 |
Effect of a small loss or gain in the periodic nonlinear Schrödinger anomalous wave dynamics |
PHYSICAL REVIEW. E |
2020 |
Fermi-Pasta-Ulam-Tsingou recurrence of periodic anomalous waves in the complex Ginzburg-Landau and in the Lugiato-Lefever equations |
PHYSICAL REVIEW. E |
2020 |
The effect of a small loss or gain in the periodic NLS anomalous wave dynamics. I |
|
2019 |
The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes |
RUSSIAN MATHEMATICAL SURVEYS |
2019 |
The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes |
PHYSICS LETTERS A |
2018 |
Observation of Fermi-Pasta-Ulam-Tsingou Recurrence and Its Exact Dynamics |
PHYSICAL REVIEW. X |
2018 |
The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1 |
NONLINEARITY |
2018 |
Phase Resonances of the NLS Rogue Wave Recurrence in the Quasisymmetric Case |
THEORETICAL AND MATHEMATICAL PHYSICS |
2018 |
The periodic Cauchy problem for PT-symmetric NLS, I: the first appearance of rogue waves, regular behavior or blow up at finite times |
JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |
2018 |
Numerical instability of the Akhmediev breather and a finite gap model of it |
Recent developments in Integrable Systems and related topics of Mathematical Physics |
2018 |
On the occurrence of gauge-dependent secularities in nonlinear gravitational waves |
CLASSICAL AND QUANTUM GRAVITY |
2017 |
On the dispersionless Kadomtsev-Petviashvili equation with arbitrary nonlinearity and dimensionality: exact solutions, longtime asymptotics of the Cauchy problem, wave breaking and shocks |
JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |
2016 |
Nonlocality and the Inverse Scattering Transform for the Pavlov Equation |
STUDIES IN APPLIED MATHEMATICS |
2016 |
An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects |
THEORETICAL AND MATHEMATICAL PHYSICS |
2016 |